what is the value of n?

Answer:

84%

Step-by-step explanation:

The probability that the selected player is a football player, P(F)=19%

The probability that the selected player is a basketball player, P(B)=79%

The probability that the selected player play both football and basketball,

[tex]P(B \cap F)=14\%[/tex]

We want to determine the probability that a randomly chosen athlete is either a football player or a basketball player, [tex]P(B \cup F)[/tex]

In probability theory

[tex]P(B \cup F)=P(B)+P(F)-P(B \cap F)\\=79\%+19\%-14\%\\=84\%[/tex]

The probability that a randomly chosen athlete is either a football player or a basketball player is 84%.

Answer:

ur pito is to small

Step-by-step explanation:

it to little

Answer: £20.

Step-by-step explanation:

Let the old price = £x

Percent increase. = 10%

Increment. = 10% of £x

= 10x/100

Now new price = £22

To determine the old price we have

x + 10x/100. = 22

We now multiply everything by 100 to make it a linear expression

100x + 10x = 2200

110x = 2200, therefore

x. = 2200/110

= £20

Therefore, the price before the increase. = £20.

DE is secant on the circle below.

A secant line is a straight line that twice intersects a circle.

We have a diagram of circle.

As, Either a secant or a tangent will arise from the circle's junction.

A secant is a line that intersects a circle twice. The relationship between the circle and the line that intersects it is explained by this idea.

Again from the figure CA and CE intersect circle at B and D.

It can also represented that the AB and DE intersects at a point C.

So, the secant line that intersects the circle twice.

Learn more about Secant here:

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Answer:

[tex] A.\angle 1\: \\\\D. \angle 3[/tex]

Step-by-step explanation:

[tex] \angle 1\: \&\: \angle 3[/tex] are remote interior angles of [tex] \angle 6[/tex]

Answer:

Federal income taxes, health insurance premium, state income tax

Step-by-step explanation:

Commission may be a bonus from a sale you made and overtime hours are extra hours over 40.00 that you worked during the week

2  things are certain in life death and taxes

Answer:

(a) H₀: p = 0.11 vs. Hₐ: p > 0.11.

(b) A type I error occurs when we discard a true null hypothesis (H₀) and a type II error is made when we fail to discard a false null hypothesis (H₀).

Step-by-step explanation:

A college needs to know how many left-handed desks to place in the big lecture halls being constructed on its campus.

From past data, it is believed that 11% of all Americans are left-handed.

The college wants to know if the data provide enough evidence to show that students at this college have a higher percentage of left-handed people than the general American population.

(a)

The hypothesis can be defined as follows:

H₀: The percentage of left-handed people in the college is 11%, i.e. p = 0.11.

Hₐ: The percentage of left-handed people in the college is more than 11%, i.e. p > 0.11.

(b)

A type I error occurs when we discard a true null hypothesis (H₀) and a type II error is made when we fail to discard a false null hypothesis (H₀).

In this case, a type I error would be committed if it is concluded that the percentage of left-handed people in the college is more than 11% when in fact it is 11%.

And, a type II error would be committed if it is concluded that the percentage of left-handed people in the college is 11% when in fact it is more than 11%.

Answer:

The answer is

Step-by-step explanation:

Let n represent the number of children

Let c represent the number of candies

The above variation is written as

[tex]c = \frac{k}{n} [/tex]

when n = 12 c = 140

So we have

[tex]140 = \frac{k}{12} [/tex]

Cross multiply

That's

k = 1680

So the formula for the variation is

[tex]c = \frac{1680}{n} [/tex]

when n = 8

[tex]c = \frac{1680}{8} [/tex]

c = 210

Therefore there are 210 candies consumed when there are 8 children

Hope this helps you

Answer:

945 ways

Step-by-step explanation:

Total

Required Selection

2  Appetizers out of 7 can be selected in [tex]^7C_2[/tex] ways

8 main courses out of 9 can be selected in [tex]^9C_8[/tex] ways

4 desserts out of 5 can be selected in [tex]^5C_4[/tex] ways

Therefore, the number of ways this can be done

[tex]=^7C_2 \times ^9C_8 \times ^5C_4[/tex]

=945 ways

Answer:

the square root is 6.48

Answer:

≈6.48

Step-by-step explanation:

[tex]\sqrt{42}=\\6.4807407...[/tex]

If you multiply it by itself, it will equal 42. (Or you can just use a calculator)

Answer: 7/8

Step-by-step explanation:

Let the boy is letter B and the girl is letter G.

So the possible outcomes are as follows below

BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG

SO the number of possible outcomes is 8

The number of outcomes where is at least 1 girl ( triples where is 1 girl, 2 girls or all 3 children are the girls) is 7

So the probability, that family with 3 kids has at least 1 girl is

P(number of girls >=1)=  7/8  

Answer:

$36,241.20

Step-by-step explanation:

Compounded Interest Rate Formula: A = P(1 + r/n)^nt

Since we are given P, r, n, and t, simply plug it into the formula:

A = 35000(1 + 0.035/4)⁴⁽¹⁾

A = 35000(1 + 0.00875)⁴

A = 35000(1.00875)⁴

A = 35000(1.03546)

A = 36241.2

Answer:

The predicted sales for the new set of advertising budgets is 14.

Step-by-step explanation:

The linear regression model is:

[tex]\text{Sales}=2.9389+0.0458\cdot(\text{TV})+0.1885\cdot(\text{Radio})-0.0010\cdot(\text{Newspaper})[/tex]

Compute the value of sales for:

TV = 200,

Radio = 10,

Newspaper = 20

[tex]\text{Sales}=2.9389+0.0458\cdot(\text{TV})+0.1885\cdot(\text{Radio})-0.0010\cdot(\text{Newspaper})[/tex]

        [tex]=2.9389+0.0458\cdot(200)+0.1885\cdot(10)-0.0010\cdot(20)\\=2.9389+9.16+1.885-0.0002\\=13.9837\\\approx 14[/tex]

Thus, the predicted sales for the new set of advertising budgets is 14.

Answer:

Volume of cylinder = π/4 (the volume of the prism) or π/4 (4r²)(h) or πr²h (D)

The complete question related to this found on brainly (ID: 4049983 and 4265826) is stated below:

A cylinder fits inside a square prism as shown. For every cross section, the ratio of the area of the circle to the area of the square is or πr^2 or π/4. Since the area of the circle is π/4 the area of the square, the volume of the cylinder equals

A) π/2(the volume of the prism) or π/2 (2r)(h) or πrh.

B) π/2 (the volume of the prism) or π/2 (4r2)(h) or 2πrh.

C) π/4(the volume of the prism) or π/4 (2r)(h) or π/4(r2h).

D) π/4(the volume of the prism) or π/4 (4r2)(h) or πr2h.

See attachment for diagram

Step-by-step explanation:

Area of the cross section in the cylinder

Area of circle = πr²

Area of the cross section in the square prism

Area of square = (side length)²

Here the side length = diameter

Diameter = 2×radius = 2r

Area of square = (2r)² = 4r²

Ratio of area of circle to area of square = πr²/4r² = π/4

Area of circle/area of square = π/4

Area of circle = π/4 × area of square

Area of circle = π/4 × 4r²

Volume of cylinder = area of circle × height

Volume = πr² ×h = πr²h

Volume of square prism = area of square × height = (2r)²h = 4r²h

Ratio of volume of cylinder to volume of square prism = πr²h/4r²h = π/4

Volume of cylinder/volume of square prism = π/4

Volume of cylinder = π/4 × volume of square prism = π/4 × 4r²h

= πr²h

Therefore Volume of cylinder = π/4 (the volume of the prism) or π/4 (4r²)(h) or πr²h (D)

Answer:

B

Step-by-step explanation:

Adding the 7 to the input (x) will increase the output (y) by 7. Therefore, the graph is translated 7 units up.

Answer:

The answer is B

Step-by-step explanation:

well the equation of a line is : y = mx + b

in this question the equation is y = x

so the line y = x +7  will be 7 units up than y = x

Answer:

x = 22

Step-by-step explanation:

Since the the 2 bisectors are equal, that means the chords are also equal. Since bisector splits into 2 equal parts, 11 + 11 equals 22

Answer:

53 in.

Step-by-step explanation:

to find the area u do 8 times 6 and 1/2 2(5)

triangle = 1/2bh

rectangle = bh

hope this helps

Answer:  (a) [tex]\bold{A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}}[/tex]

               (b) A = $1680.67

               (c) t = 9.99 years

               (d) A = $1689.85

Step-by-step explanation:

[tex]A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}[/tex]   where

a) Given: P = 900, r = 7% = 0.07, n = quarterly = 4

[tex]\bold{A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}}[/tex]

b) Given: P = 900, r = 7% = 0.07, n = quarterly = 4, t = 9

[tex]A=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4(9)}\\\\\\A = 900\bigg(1+\dfrac{0.07}{4}\bigg)^{36}[/tex]

A = 1680.67

c) Given: A = 1800, P = 900, r = 7% = 0.07, n = quarterly = 4

[tex]1800=900\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\2=\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\ln\ 2=ln\bigg(1+\dfrac{0.07}{4}\bigg)^{4t}\\\\\\ln\ 2 = 4t\ ln\bigg(1+\dfrac{0.07}{4}\bigg)\\\\\\\dfrac{ln\ 2}{4\ ln\bigg(1+\dfrac{0.07}{4}\bigg)}=t\\\\\\\bold{t=9.99}[/tex]

d) [tex]A=Pe^{rt}[/tex]

Given: P = 900, r = 7% = 0.07, t = 9

[tex]A=900e^{0.07(9)}\\\\\\A=900e^{.63}\\\\\\\bold{A=1689.85}[/tex]

Answer:

1). SUBTRACTION property of equality

2). MULTIPLICATION property of equality

Step-by-step explanation:

Step 2:

When we subtract the same number from both the sides of an equation it represents the subtraction property of equality.

[tex]\frac{x}{4}+5-(5)=23-(5)[/tex]

Here 5 has been subtracted from both the sides.

Therefore, SUBTRACTION property of equality was applied.

Step 4:

If the same number is multiplied to both the sides of an equation, multiplication property of equality is applied.

[tex]4\times \frac{x}{4}=4\times (18)[/tex]

Here 4 has been multiplied to both the sides.

Therefore, MULTIPLICATION property of equality was applied.

Answer:

He should accept contract 2 because it has a higher present value.

Step-by-step explanation:

we need to find the present value of each contract:

Contract 1 = $3,000,000/1.1 + $3,000,000/1.1² + $3,000,000/1.1³ + $3,000,000/1.1⁴  = $2,727,273 + $2,479,339 + $2,253,944 + $2,049,040 = $9,509,596

Contract 2 $2,000,000/1.1 + $3,000,000/1.1² $4,000,000/1.1³ + $5,000,000 /1.1⁴  = $1,818,182 + $2,479,339 + $3,005,259 + $3,415,067 = $10,717,847

Contract 3 $7,000,000/1.1 + $1,000,000/1.1² + $1,000,000/1.1³ + $1,000,000/1.1⁴  = $6,363,636 + $826,446 + $751,315 + $683,013 = $8,624,410

Answer:

B

Step-by-step explanation:

Trapezoids have only one pair of parallel lines.        

Answer: 342.32

Step-by-step explanation: sin(25) = h/a

Sin(25)= h/27

27*sin(25) = h

b*h = area

Answer:

18

Step-by-step explanation:

The pattern in this sequence is that you add 7 from the previous number to get the next number (-10 + 7 = -3, -3 + 7 = 4, etc). The next item will be 11 + 7 + 18. Hope this helps!

The next item in the sequence is 18.

You should be familiar with the following four main categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences.

The sequence is  -10 ,-3, 4, 11,........

this sequence is following pattern ,you add 7 from the previous number to get the next number

First term =  -10 + 7 = -3,

Second term =-3 + 7 = 4, .

The next item will be 11 + 7 = 18.

Therefore, The next item in the sequence is 18.

Learn more about sequence brainly.com/question/12474324 here

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Answer:

y=4x-8

Step-by-step explanation:

First you must use the distributive property and get y-8=4x-16.

Then you have to add 8 on both sides so just y is left on the left side.

This will get you y=4x-8 in slope-intercept form.

Answer:

18 degrees

Step-by-step explanation:

The triangle is an iscoceles right triangle.

The angles in a triangle add up to 180.

90+2y (iscoceles) =180

2y=90

y=45

So the angles of the right triangle are 45. However, you have to take away 27 because you are solving for only a part of 45. 45-27=18

Answer:

D

Step-by-step explanation:

There isn't enough information to find a y-intercept.

Answer:

24 cubic feet.

Step-by-step explanation:

What we need to do here, is to find the volume of the aquarium.

The Aquarium is a rectangular prism.

The volume of a rectangular prism is length*width*height (we just multiply the dimensions together)

2*4*3=8*3=24

The volume of the aquarium is 24 cubic feet, and therefore 24 cubic feet of water is required to fill the tank.

Answer:

Hello! :) The answer will be under “Explanation”

Step-by-step explanation:

The answer will be 24 cubic feet.

Work:

LxWxH

(Length,Width,Hight)

So you the question is asking about volume, we need to do the formula (length,width, and hight)

Now we have to multiply

2x4=8

8x3=24

So the answer will be 24 cubic feet.

Hope this helps! :)

Answer:

Make a point at (3pm, 45), (4.5 pm, 45), (5.5pm, 30), (6.5pm, 15), and (7.5pm, 0). Then connect the dots starting at (0,0) Then you have your graph :)

Step-by-step explanation:

Answer:

[tex]V(n) = 575000(0.7)^{n}[/tex]

Step-by-step explanation:

The value of the machine after n years is given by an exponential function in the following format:

[tex]V(n) = V(0)(1-r)^{n}[/tex]

In which V(0) is the initial value and r is the yearly rate of depreciation, as a decimal.

A company buys a machine for $575,000 that depreciates at a rate of 30% per year.

This means, respectively, that: [tex]V(0) = 575000, r = 0.3[/tex]. So

[tex]V(n) = V(0)(1-r)^{n}[/tex]

[tex]V(n) = 575000(1-0.3)^{n}[/tex]

[tex]V(n) = 575000(0.7)^{n}[/tex]